This is not some kind of Combat Lifesaver kit or anything like that it is just the kind of things you'll need to deal with the workaday injuries that come at home. This is for dressing regular cuts and burns you'd get in the kitchen or working on the car in the garage. You would want some different thing in it for your car or office, but that is another post.
This kit assumes you have a family with children:
Emergency Numbers, Medical Consent Forms, and Medical History for each family member
Prescription Medication information, Allergy Medicine
Pain Relievers, Cough and Cold Medications
Oral Medicine Syringe or Other Pediatric Dosing Instrument
Hydrocortisone Cream, Antiseptic Wipes, Antibiotic Ointment, Hydrogen Peroxide
Bandages of Assorted Sizes, Bandage Closures, Triangular Bandages, Elastic Wraps
Adhesive Tape, and Gauze in Rolls
Two-Inch and Four-Inch Pads
Sharp Scissors with Rounded Tips
Petroleum Jelly, Calamine Lotion, Aloe Vera Gel
Cold Packs in the frig and a couple of Disposable, Instant-Activating Cold Packs for blackouts
Latex-Free Barrier Gloves
Small LED Flashlight
You'll want to go through the medicines and see which ones are expired and replace them. Do this twice a year, just before school starts is a good time, particularly for the cold medications.